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2482629336 = 2332113134633
BaseRepresentation
bin1001001111111001…
…1110101011011000
320102000111122012200
42103332132223120
520041023114321
61050203210200
7115344000255
oct22376365330
96360448180
102482629336
11106441a190
12593516960
13307459a55
14197a0c42c
15e7e48d26
hex93f9ead8

2482629336 has 48 divisors (see below), whose sum is σ = 7335043560. Its totient is φ = 752311680.

The previous prime is 2482629329. The next prime is 2482629353. The reversal of 2482629336 is 6339262842.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2482629291 and 2482629300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1566525 + ... + 1568108.

Almost surely, 22482629336 is an apocalyptic number.

It is an amenable number.

2482629336 is an abundant number, since it is smaller than the sum of its proper divisors (4852414224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2482629336 is a wasteful number, since it uses less digits than its factorization.

2482629336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134656 (or 3134649 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2482629336 is about 49825.9905671729. The cubic root of 2482629336 is about 1354.0580838756.

The spelling of 2482629336 in words is "two billion, four hundred eighty-two million, six hundred twenty-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 3134633 6269266 9403899 12538532 18807798 25077064 28211697 34480963 37615596 56423394 68961926 75231192 103442889 112846788 137923852 206885778 225693576 275847704 310328667 413771556 620657334 827543112 1241314668 2482629336